Questions: Ms. Sanchez orders 221 feet 8 inches of string to cut and use for manipulatives in her math class. How much string will each student receive if she cuts the entire length into 28 equal pieces? 8 feet 3 inches 8 feet 1 inch 7 feet 8 inches 7 feet 11 inches

Ms. Sanchez orders 221 feet 8 inches of string to cut and use for manipulatives in her math class. How much string will each student receive if she cuts the entire length into 28 equal pieces? 8 feet 3 inches 8 feet 1 inch 7 feet 8 inches 7 feet 11 inches
Transcript text: Ms. Sanchez orders 221 feet 8 inches of string to cut and use for manipulatives in her math class. How much string will each student receive if she cuts the entire length into 28 equal pieces? 8 feet 3 inches 8 feet 1 inch 7 feet 8 inches 7 feet 11 inches
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Solution

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Solution Steps

To determine how much string each student will receive, we need to first convert the total length of the string from feet and inches to just inches. Then, we divide this total length by the number of students to find the length of string each student will receive in inches. Finally, we convert the result back to feet and inches.

Step 1: Convert Total Length to Inches

The total length of string ordered by Ms. Sanchez is given as \( 221 \) feet and \( 8 \) inches. To convert this to inches, we use the formula: \[ \text{Total Length in Inches} = 221 \times 12 + 8 = 2660 \text{ inches} \]

Step 2: Calculate Length per Student

Ms. Sanchez plans to cut the string into \( 28 \) equal pieces. Therefore, the length of string each student will receive is calculated as: \[ \text{Length per Student in Inches} = \frac{2660}{28} = 95.0 \text{ inches} \]

Step 3: Convert Length per Student Back to Feet and Inches

To express \( 95.0 \) inches in feet and inches, we perform the following calculations: \[ \text{Feet per Student} = \left\lfloor \frac{95.0}{12} \right\rfloor = 7 \text{ feet} \] \[ \text{Inches per Student} = 95.0 \mod 12 = 11.0 \text{ inches} \]

Final Answer

Each student will receive \( 7 \) feet and \( 11 \) inches of string. Thus, the answer is: \[ \boxed{7 \text{ feet } 11 \text{ inches}} \]

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